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Finding the Fourth Proportional to 1,405.40, 1,939.50 and 845.82

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Solution

The fourth proportional to 1,405.40, 1,939.50 and 845.82 is: 1,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.40 : 1,939.50 = 845.82 : x
  2. Step 2: Convert to fraction form
    1,405.40/1,939.50 = 845.82/x
  3. Step 3: Cross multiply
    1,405.40x = 1,939.50 × 845.82
  4. Step 4: Simplify right side
    1,405.40x = 1,640,467.89
  5. Step 5: Solve for x
    x = 1,640,467.89/1,405.40
  6. Step 6: Final answer
    x = 1,167.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.